TY - JOUR

T1 - Generalized Pauli constraints in large systems

T2 - The Pauli principle dominates

AU - Reuvers, Robin

N1 - Erratum: https://aip.scitation.org/doi/10.1063/5.0051061

PY - 2021

Y1 - 2021

N2 - Lately, there has been a renewed interest in fermionic one-body reduced density matrices and their restrictions beyond the Pauli principle. These restrictions are usually quantified using the polytope of allowed, ordered eigenvalues of such matrices. Here, we prove that this polytope's volume rapidly approaches the volume predicted by the Pauli principle as the dimension of the one-body space grows and that additional corrections, caused by generalized Pauli constraints, are of much lower order unless the number of fermions is small. Indeed, we argue that the generalized constraints are most restrictive in (effective) few-fermion settings with low Hilbert space dimension.

AB - Lately, there has been a renewed interest in fermionic one-body reduced density matrices and their restrictions beyond the Pauli principle. These restrictions are usually quantified using the polytope of allowed, ordered eigenvalues of such matrices. Here, we prove that this polytope's volume rapidly approaches the volume predicted by the Pauli principle as the dimension of the one-body space grows and that additional corrections, caused by generalized Pauli constraints, are of much lower order unless the number of fermions is small. Indeed, we argue that the generalized constraints are most restrictive in (effective) few-fermion settings with low Hilbert space dimension.

UR - http://www.scopus.com/inward/record.url?scp=85103240281&partnerID=8YFLogxK

U2 - 10.1063/5.0031419

DO - 10.1063/5.0031419

M3 - Journal article

AN - SCOPUS:85103240281

VL - 62

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 3

M1 - 032204

ER -